GCF of 8755/693, 9076/7171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8755/693, 9076/7171 i.e 1/4969503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8755/693, 9076/7171.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8755/693,9076/7171?
Given fractions are 8755/693,9076/7171
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8755/693,9076/7171, numerators are 8755,9076
Denominators are 693,7171
The GCF of 8755,9076 is 1 .
LCM of 693,7171 is 4969503.
The greatest common factor of 8755/693,9076/7171 = [GCF of 8755,9076]/[LCM of 693,7171]= 1/4969503
Therefore, the GCF of 8755/693,9076/7171 is 1/4969503.
To find the highest common factor of 8755,9076, we have to find the factors of both numbers and list the highest common factor.
The factors of 8755 are 1, 5, 17, 85, 103, 515, 1751, 8755
The factors of 9076 are 1, 2, 4, 2269, 4538, 9076
The HCF of 8755,9076 is 1.
Lets's calculate GCF of 8755,9076
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8755,9076 By Matching Biggest Common Factor Method
Now, list down the factors of 8755
:1,5,17,85,103,515,1751,8755
Now, list down the factors of 9076
:1,2,4,2269,4538,9076
Greatest Common Factor
We found the factors 8755,9076 . The biggest common factor number is the GCF number.
So the greatest common factor 8755,9076 is 1.
Lets's calculate LCM of 693,7171
Given numbers has no common factors except 1. So, there LCM is their product i.e 4969503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4969503
Therefore, the GCF of Fractions 8755/693,9076/7171 is 1/4969503
Least Common Multiple of 693,7171 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 693,7171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,7171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(693,7171) x common factors =1 x 1 = 1
LCM(693,7171) = ( 693 × 7171 ) / 1
LCM(693,7171) = 4969503 / 1
LCM(693,7171) = 4969503
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FAQs on GCF of Fractions of 8755/693, 9076/7171
1. What is the HCF of 8755,9076?
The HCF of 8755,9076 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8755/693, 9076/7171?
Answer: GCF of Numerators as per given numbers 8755/693, 9076/7171 is
GCF of Numerators i.e. for 8755,9076 is 1
LCM of denominators i.e. for 693,7171 is 4969503.
Thus, GCF of Fractions is 1/4969503.Finally, GCF of Fractions for 8755/693, 9076/7171 is 1/4969503.